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Finding the Fourth Proportional to 14,437.44, 21,649.68 and 6,642

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Solution

The fourth proportional to 14,437.44, 21,649.68 and 6,642 is: 9,960.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,437.44 : 21,649.68 = 6,642 : x
  2. Step 2: Convert to fraction form
    14,437.44/21,649.68 = 6,642/x
  3. Step 3: Cross multiply
    14,437.44x = 21,649.68 × 6,642
  4. Step 4: Simplify right side
    14,437.44x = 143,797,174.56
  5. Step 5: Solve for x
    x = 143,797,174.56/14,437.44
  6. Step 6: Final answer
    x = 9,960.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.